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This paper presents a new method to reduce stray signal errors in antenna radiation pattern measurement using RLS algorithm (recursive least-squares algorithm). Stray signals create by reflection and scattering of the range antenna field from fixed objects in the range and by leakage of the range RF system. This method can be used on static far-field range. In this method, an antenna with the known pattern (reference antenna) is placed in the test zone to find the optimal tap weights of the RLS algorithm. By the optimal tap weights, radiation pattern of AUT (antenna under test) is corrected. The effectiveness of this method is confirmed by some simulation results.